Find the LCM of 736, 893, 169, 368, 728 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 736, 893, 169, 368, 728. So, keep reading to learn more.
Given numbers are 736,893,169,368,728
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,893,169,368,728 is 777524384.
Find LCM of 736,893,169,368,728 with Prime Factorization
2 | 736, 893, 169, 368, 728 |
2 | 368, 893, 169, 184, 364 |
2 | 92, 893, 169, 184, 182 |
2 | 46, 893, 169, 92, 91 |
13 | 23, 893, 169, 46, 91 |
23 | 23, 893, 13, 46, 7 |
1, 893, 13, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 13 x 23 x 1 x 893 x 13 x 2 x 7 = 777524384
Therefore, the lowest common multiple of 736,893,169,368,728 is 777524384.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
736 x 893 x 169 x 368 x 728 = 29757413224448
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
893 : 1, 19, 47, 893
169 : 1, 13, 169
368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,893,169,368,728, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
893:19x 47
169:13x 13
368:2x 2x 2x 2x 23
728:2x 2x 2x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 13x 23 = 38272
Therefore, the value for common factors is 38272.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 29757413224448/(1x38272)
LCM = 29757413224448/38272
LCM = 777524384
Thus, we can understand that the LCM of 736,893,169,368,728 is 777524384.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 736, 893, 169, 368, 728?
Answer: LCM of 736, 893, 169, 368, 728 is 777524384.
2. How to calculate the LCM of 736, 893, 169, 368, 728?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 736, 893, 169, 368, 728.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.